Solution for fractional potential KdV and Benjamin equations using the novel technique

作     者：P.Veeresha D.G.Prakasha N.Magesh A.John Christopher Deepak Umrao Sarwe P.Veeresha;D.G.Prakasha;N.Magesh;A.John Christopher;Deepak Umrao Sarwe

作者机构：Department of MathematicsCHRIST(Deemed to be University)Bengaluru-560029India Department of MathematicsFaculty of ScienceDavangere UniversityShivagangothriDavangere-577007India P.G.and Research Department of MathematicsGovt.Arts College for MenKrishnagiri-635001India Department of MathematicsUniversity of MumbaiKalinaSantacruz EastMumbai-400098India 

出 版 物：《Journal of Ocean Engineering and Science》 (海洋工程与科学（英文）)

年 卷 期：2021年第6卷第3期

页      面：265-275页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Potential KdV equation q-Homotopy analysis method Fractional Benjamin equation Laplace transform Ginzburg-Landau equation Caputo fractional operator 

摘      要：In this paper,we find the solutions for fractional potential Korteweg-de Vries(p-KdV)and Benjamin equations using q-homotopy analysis transform method(q-HATM).The considered method is the mixture of q-homotopy analysis method and Laplace transform,and the Caputo fractional operator is considered in the present *** projected solution procedure manipulates and controls the obtained results in a large admissible ***,it offers a simple algorithm to adjust the convergence province of the obtained *** validate the q-HATM is accurate and reliable,the numerical simulations have been conducted for both equations and the outcomes are revealed through the plots and *** between the obtained solutions with the exact solutions exhibits that,the considered method is efficient and effective in solving nonlinear problems associated with science and technology.